Rationalize the Denominator $\frac { \sqrt { x } - \sqrt { y } } { \sqrt { 2 x } + \sqrt { 5 y } }$

question 212

Multiple Choice

Rationalize the denominator. Assume that all variables represent nonnegative numbers and that the denominator is not
zero.
- $\frac { \sqrt { x } - \sqrt { y } } { \sqrt { 2 x } + \sqrt { 5 y } }$

• A) \(\frac { x \sqrt { 2 } - \sqrt { 5 x y } - \sqrt { 2 x y } + y \sqrt { 5 } } { 2 x + 5 y }\)
• B) \(\frac { \sqrt { 2 x } - \sqrt { 7 x y } + \sqrt { 5 y } } { 2 x - 5 y }\)
• C) \(\frac { \sqrt { 2 x } - \sqrt { 7 x y } + \sqrt { 5 y } } { 2 x + 5 y }\)
• D) \(\frac { x \sqrt { 2 } - \sqrt { 5 x y } - \sqrt { 2 x y } + y \sqrt { 5 } } { 2 x - 5 y }\)

---

Definitions:

Public Assistance Worker

An individual responsible for providing support, information, and resources to individuals or families in need, through governmental or non-profit organizations.

Designated Authorities

Specific entities or individuals officially empowered to make decisions or perform actions within defined contexts.

NASW Code of Ethics

A document that outlines the ethical principles and standards that guide the professional practice of social workers, ensuring accountability and integrity.

Competent

Having the necessary ability, knowledge, or skill to do something successfully and efficiently.